Metrics for NMSE Section 6.1 mentioned, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze32.0ms (0.3%)

Memory

30.7MiB live, 74.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.7%	92.5%	6.2%	0.1%	0%	1.2%	0%	9
93.7%	92.5%	6.2%	0.1%	0%	1.2%	0%	10
96.8%	94.9%	3.1%	0.1%	0%	1.9%	0%	11
96.8%	94.9%	3.1%	0.1%	0%	1.9%	0%	12

Compiler

Compiled 31 to 21 computations (32.3% saved)

sample2.9s (30.7%)

Memory

54.5MiB live, 3 504.6MiB allocated

Samples

1.1s	5 994×	0	valid
986.0ms	2 261×	1	valid
169.0ms	1 000×	0	exit
4.0ms	21×	1	exit
1.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-exp: 438.0ms (24.3% of total)

ival-mult: 413.0ms (22.9% of total)

ival-div: 278.0ms (15.4% of total)

ival-add: 210.0ms (11.6% of total)

ival-sub: 189.0ms (10.5% of total)

ival-neg: 168.0ms (9.3% of total)

adjust: 86.0ms (4.8% of total)

exact: 10.0ms (0.6% of total)

ival-true: 7.0ms (0.4% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain417.0ms (4.5%)

Memory

-25.9MiB live, 517.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
54	5	(-2.3137202713399866e-279 -0.00021567946399965243)	-	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
0	0	-	-	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
0	0	-	-	`(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))`
0	0	-	-	`(-.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) eps) x)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`eps`
0	0	-	-	`(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))`
0	0	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))`
0	0	-	-	`(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))`
0	0	-	-	`(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(*.f64 (+.f64 #s(literal 1 binary64) eps) x)`
0	0	-	-	`(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`	cancellation	59	0

Confusion

	Predicted +	Predicted -
+	54	0
-	5	197

Precision

0.9152542372881356

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	54	0	0
-	5	0	197

Precision?

0.9152542372881356

Recall?

1.0

Freqs

test

number	freq
0	197
1	59

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

122.0ms	402×	0	valid
38.0ms	110×	1	valid

Compiler

Compiled 315 to 61 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-exp: 32.0ms (28.1% of total)

ival-mult: 32.0ms (28.1% of total)

ival-sub: 20.0ms (17.5% of total)

ival-add: 10.0ms (8.8% of total)

ival-div: 9.0ms (7.9% of total)

ival-neg: 5.0ms (4.4% of total)

adjust: 4.0ms (3.5% of total)

exact: 1.0ms (0.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess265.0ms (2.8%)

Memory

15.7MiB live, 206.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	157
1	172	145
2	538	137
3	2367	135
0	19	29
0	34	29
1	72	29
2	181	27
3	727	27
4	3450	27
0	8073	26

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs

(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Outputs

(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))

Compiler

Compiled 29 to 19 computations (34.5% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.6%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Status

Accuracy

Program

▶

79.6%

(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify187.0ms (2%)

Memory

-32.5MiB live, 188.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
cost-diff	1	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
cost-diff	1	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
cost-diff	1	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	141
0	34	141
1	72	141
2	181	135
3	727	135
4	3450	135
0	8073	129

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(-.f64 #s(literal 1 binary64) eps)
x
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(+.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)

Outputs
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
x
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(neg.f64 (fma.f64 x eps x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(fma.f64 x eps x)
(+.f64 #s(literal 1 binary64) eps)
(+.f64 eps #s(literal 1 binary64))
#s(literal 2 binary64)

localize76.0ms (0.8%)

Memory

7.5MiB live, 154.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
accuracy	0.00390625	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
accuracy	0.01953125	(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
accuracy	13.077675793806248	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Samples

36.0ms	55×	1	valid
28.0ms	201×	0	valid

Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

adjust: 16.0ms (32.8% of total)

ival-exp: 9.0ms (18.4% of total)

ival-mult: 7.0ms (14.3% of total)

ival-div: 5.0ms (10.2% of total)

ival-add: 5.0ms (10.2% of total)

ival-sub: 4.0ms (8.2% of total)

ival-neg: 3.0ms (6.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

-16.0MiB live, 29.9MiB allocated

Counts

6 → 66

Calls

Call 1

Inputs
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)

Outputs
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(* x (+ 1 eps))
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(* x (- 1 eps))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
x
(+ x (* eps x))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(+ x (* -1 (* eps x)))
(exp (neg (* x (- 1 eps))))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* eps x)
(* eps (+ x (/ x eps)))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x eps)))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	0	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- 1 eps) x))
4.0ms	x	@	inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- 1 eps) x))
3.0ms	x	@	0	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- 1 eps) x))
2.0ms	x	@	-inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- 1 eps) x))
2.0ms	eps	@	-inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- 1 eps) x))

simplify189.0ms (2%)

Memory

30.5MiB live, 246.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	1956
1	1081	1768
2	5172	1643
0	8170	1553

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

Calls

Call 1

Inputs
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(* x (+ 1 eps))
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(* x (- 1 eps))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
x
(+ x (* eps x))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(+ x (* -1 (* eps x)))
(exp (neg (* x (- 1 eps))))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* eps x)
(* eps (+ x (/ x eps)))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x eps)))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))

Outputs
(+ 1 (/ 1 eps))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(- (/ 1 eps) 1)
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 x eps x) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(fma.f64 (fma.f64 (.f64 x (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
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x
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(-.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64))) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))))) (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))) (.f64 eps eps) (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) #s(literal 1/6 binary64))))) (.f64 eps eps) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) x)))
(+ x (* -1 (* eps x)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(exp (neg (* x (- 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(* -1 (exp (neg (* x (+ 1 eps)))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(-.f64 (/.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))
(* eps x)
(*.f64 x eps)
(* eps (+ x (/ x eps)))
(*.f64 (+.f64 (/.f64 x eps) x) eps)
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(.f64 (+.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(.f64 (-.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps)) #s(literal 1/2 binary64))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(-.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) eps))
(* -1 (* eps x))
(*.f64 (neg.f64 x) eps)
(* eps (+ (* -1 x) (/ x eps)))
(*.f64 (-.f64 (/.f64 x eps) x) eps)
(exp (neg (* x (+ 1 (* -1 eps)))))
(pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(-.f64 (/.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(*.f64 (+.f64 (/.f64 x eps) x) eps)
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(.f64 (+.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(.f64 (-.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps)) #s(literal 1/2 binary64))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(-.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) eps))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(*.f64 (-.f64 (/.f64 x eps) x) eps)

rewrite224.0ms (2.4%)

Memory

-12.2MiB live, 241.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	34	92
1	129	89
2	868	86
0	8685	79

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 416

Calls

Call 1

Inputs
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)

Outputs
(*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)) (pow.f64 (.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64))) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -2 binary64)) (.f64 (pow.f64 (.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)) (pow.f64 (.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) (.f64 (neg.f64 (.f64 (sinh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (sinh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) (-.f64 (.f64 (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (sinh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) (neg.f64 (log.f64 eps)))) (exp.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) (neg.f64 (log.f64 eps))))) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -2 binary64))) (-.f64 (exp.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) (neg.f64 (log.f64 eps)))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -2 binary64)) (*.f64 (exp.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) (neg.f64 (log.f64 eps)))) (exp.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) (neg.f64 (log.f64 eps)))))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) (neg.f64 (log.f64 eps))))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))))) (.f64 (neg.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (sinh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))))) (neg.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (sinh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))))))) (-.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (neg.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (sinh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -3 binary64))) (fma.f64 (pow.f64 (.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)) (pow.f64 (.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -2 binary64)) (.f64 (pow.f64 (*.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -3 binary64)) (pow.f64 (pow.f64 (.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -2 binary64)) (-.f64 (.f64 (pow.f64 (.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)) (pow.f64 (.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64))) (.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (sinh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 (neg.f64 (.f64 (sinh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (sinh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) (.f64 (.f64 (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (sinh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) (neg.f64 (log.f64 eps)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -3 binary64))) (fma.f64 (exp.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) (neg.f64 (log.f64 eps)))) (exp.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) (neg.f64 (log.f64 eps)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -2 binary64)) (*.f64 (exp.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) (neg.f64 (log.f64 eps)))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -3 binary64)) (pow.f64 (exp.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) (neg.f64 (log.f64 eps)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -2 binary64)) (-.f64 (.f64 (exp.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) (neg.f64 (log.f64 eps)))) (exp.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) (neg.f64 (log.f64 eps))))) (.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) (neg.f64 (log.f64 eps))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (sinh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (-.f64 (.f64 (neg.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (sinh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))))) (neg.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (sinh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))))) (.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (neg.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (sinh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))))))))
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(+.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (-.f64 (neg.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (sinh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))))) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))))
(+.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))))))
(+.f64 (neg.f64 (*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (cosh.f64 (fma.f64 x eps x)))) (fma.f64 (neg.f64 (expm1.f64 (neg.f64 (log.f64 eps)))) (sinh.f64 (neg.f64 (fma.f64 x eps x))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (expm1.f64 (neg.f64 (log.f64 eps))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))) (/.f64 (neg.f64 (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 2 binary64))) (fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (expm1.f64 (neg.f64 (log.f64 eps))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))))
(+.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (expm1.f64 (neg.f64 (log.f64 eps))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (pow.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (neg.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (expm1.f64 (neg.f64 (log.f64 eps))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (pow.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))))
(+.f64 (neg.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(+.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (-.f64 (pow.f64 (*.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (-.f64 (exp.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) (neg.f64 (log.f64 eps)))) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))))))
(*.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))
(.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) eps #s(literal 1 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) eps #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x (+.f64 eps #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (neg.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) eps #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 eps eps)))) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (neg.f64 x))) (fma.f64 (+.f64 eps #s(literal 1 binary64)) eps #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (neg.f64 x))) (+.f64 eps #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (neg.f64 x)) (neg.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) eps #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) x) (+.f64 eps #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) x) (fma.f64 (+.f64 eps #s(literal 1 binary64)) eps #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 eps eps))) (+.f64 eps #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (+.f64 eps #s(literal 1 binary64)) eps #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))

eval60.0ms (0.6%)

Memory: -12.7MiB live, 121.9MiB allocated
Compiler: Compiled 23 951 to 2 209 computations (90.8% saved)

prune11.0ms (0.1%)

Memory

35.8MiB live, 35.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	457	7	464
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	458	7	465

Accuracy

100.0%

Counts

465 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	38.9%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	41.9%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶	45.0%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶	41.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
▶	57.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
▶	41.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 558 to 360 computations (35.5% saved)

simplify130.0ms (1.4%)

Memory

4.2MiB live, 146.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
cost-diff	0	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
cost-diff	1	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
cost-diff	1	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
cost-diff	1	(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
cost-diff	1	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
cost-diff	2	(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
cost-diff	2	(*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff	0	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
cost-diff	0	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
cost-diff	1	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	546
0	98	545
1	195	524
2	557	503
3	2355	495
0	8249	491

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(-.f64 #s(literal 1 binary64) eps)
x
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
#s(literal -1 binary64)
(exp.f64 (fma.f64 x eps x))
(fma.f64 x eps x)
#s(literal 2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) eps)
(*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(-.f64 eps #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(+.f64 #s(literal 1 binary64) eps)
x
#s(literal 2 binary64)

Outputs
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(pow.f64 (/.f64 (E.f64) (exp.f64 eps)) (neg.f64 x))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
x
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
#s(literal -1 binary64)
(exp.f64 (fma.f64 x eps x))
(fma.f64 x eps x)
#s(literal 2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal -1 binary64)) (-.f64 eps (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal -1 binary64)) (-.f64 eps (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal -1 binary64)) (-.f64 eps (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) eps))))
(+.f64 #s(literal 1 binary64) eps)
(+.f64 eps #s(literal 1 binary64))
#s(literal 1 binary64)
eps
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) eps)
(*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(-.f64 eps (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) eps)))
(-.f64 eps #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (exp.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(-.f64 x #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(neg.f64 (fma.f64 x eps x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(fma.f64 x eps x)
(+.f64 #s(literal 1 binary64) eps)
(+.f64 eps #s(literal 1 binary64))
x
#s(literal 2 binary64)

localize290.0ms (3.1%)

Memory

-31.4MiB live, 257.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
accuracy	0.00390625	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
accuracy	13.077675793806248	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
accuracy	23.22272090085082	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.00390625	(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
accuracy	0.00390625	(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
accuracy	12.36247074803651	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.01171875	(*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
accuracy	2.1785096045157166	(fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
accuracy	22.789264661104347	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
accuracy	22.789264661104347	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
accuracy	0.00390625	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
accuracy	0.01953125	(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
accuracy	13.077675793806248	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
accuracy	14.285769050046953	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))

Samples

129.0ms	82×	2	valid
68.0ms	114×	1	valid
16.0ms	60×	0	exit

Compiler

Compiled 472 to 42 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-add: 47.0ms (33.8% of total)

ival-mult: 29.0ms (20.9% of total)

adjust: 23.0ms (16.5% of total)

ival-exp: 13.0ms (9.4% of total)

ival-sub: 11.0ms (7.9% of total)

ival-div: 11.0ms (7.9% of total)

ival-neg: 5.0ms (3.6% of total)

exact: 1.0ms (0.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

22 → 96

Calls

Call 1

Inputs
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
(*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(exp.f64 (neg.f64 x))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))

Outputs
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(* 1/2 x)
(+ 2 x)
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(+ 2 (* 2 x))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(* x (+ 1 eps))
(* x (- 1 eps))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* 2 (* x (exp (neg x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(exp (neg x))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))
(* 2 (* x (exp (* -1 x))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(exp (* -1 x))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(/ 1 eps)
(/ (+ 1 eps) eps)
(/ -1 eps)
(/ (- (pow eps 2) 1) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(+ x (* eps x))
(+ x (* -1 (* eps x)))
0
(exp (neg (* x (- 1 eps))))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
eps
(* eps (- 1 (/ 1 (pow eps 2))))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* eps x)
(* eps (+ x (/ x eps)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x eps)))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(* -1 (* eps (- (/ 1 (pow eps 2)) 1)))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- eps 1) (+ (/ 1 eps) 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (* 1/2 x) (- (+ 1 x) -1) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (- (+ 1 x) -1) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1))) (exp (neg x)) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))))
3.0ms	eps	@	-inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- eps 1) (+ (/ 1 eps) 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (* 1/2 x) (- (+ 1 x) -1) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (- (+ 1 x) -1) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1))) (exp (neg x)) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))))
3.0ms	x	@	-inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- eps 1) (+ (/ 1 eps) 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (* 1/2 x) (- (+ 1 x) -1) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (- (+ 1 x) -1) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1))) (exp (neg x)) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))))
3.0ms	x	@	inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- eps 1) (+ (/ 1 eps) 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (* 1/2 x) (- (+ 1 x) -1) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (- (+ 1 x) -1) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1))) (exp (neg x)) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))))
3.0ms	x	@	0	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- eps 1) (+ (/ 1 eps) 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (* 1/2 x) (- (+ 1 x) -1) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (- (+ 1 x) -1) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1))) (exp (neg x)) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))))

simplify175.0ms (1.9%)

Memory

28.6MiB live, 114.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	371	2229
1	1324	2031
2	5825	2011
0	8450	1877

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

Inputs
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(* 1/2 x)
(+ 2 x)
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(+ 2 (* 2 x))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(* x (+ 1 eps))
(* x (- 1 eps))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* 2 (* x (exp (neg x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(exp (neg x))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))
(* 2 (* x (exp (* -1 x))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(exp (* -1 x))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(/ 1 eps)
(/ (+ 1 eps) eps)
(/ -1 eps)
(/ (- (pow eps 2) 1) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(+ x (* eps x))
(+ x (* -1 (* eps x)))
0
(exp (neg (* x (- 1 eps))))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
eps
(* eps (- 1 (/ 1 (pow eps 2))))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* eps x)
(* eps (+ x (/ x eps)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x eps)))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(* -1 (* eps (- (/ 1 (pow eps 2)) 1)))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))

Outputs
(+ 1 (/ 1 eps))
(/.f64 (+.f64 #s(literal 1 binary64) eps) eps)
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) x (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) x (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x #s(literal 2 binary64))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) x (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x #s(literal 2 binary64))
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ 2 x)
(-.f64 x #s(literal -2 binary64))
(+ 2 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(- (/ 1 eps) 1)
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(fma.f64 (fma.f64 (.f64 x (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(fma.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) eps) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) x)) x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (- 1 eps))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))) (.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(literal 1/2 binary64))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)))
(* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))
(* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
x
(* x (+ 1 (* 2 (/ 1 x))))
(-.f64 x #s(literal -2 binary64))
(* 2 (* x (exp (neg x))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (exp.f64 x))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) (exp.f64 x))) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(exp (neg x))
(exp.f64 (neg.f64 x))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))) (.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(literal 1/2 binary64))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)))
(* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* 2 (* x (exp (* -1 x))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (exp.f64 x))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) (exp.f64 x))) x)
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
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(/ (exp (neg x)) eps)
(/.f64 (exp.f64 (neg.f64 x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 eps (exp.f64 x)) (exp.f64 (neg.f64 x))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
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(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(fma.f64 (fma.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) eps (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))) eps (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) eps))
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(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(/ (+ 1 eps) eps)
(/.f64 (+.f64 #s(literal 1 binary64) eps) eps)
(/ -1 eps)
(/.f64 #s(literal -1 binary64) eps)
(/ (- (pow eps 2) 1) eps)
(-.f64 eps (/.f64 #s(literal 1 binary64) eps))
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/.f64 (fma.f64 (neg.f64 eps) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)) (exp.f64 (neg.f64 x))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
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(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(fma.f64 (fma.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) eps (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))) eps (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x))) #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) eps))
(+ x (* eps x))
(fma.f64 x eps x)
(+ x (* -1 (* eps x)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
0
#s(literal 0 binary64)
(exp (neg (* x (- 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
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(*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)))
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eps
(* eps (- 1 (/ 1 (pow eps 2))))
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(* -1 (exp (neg (* x (+ 1 eps)))))
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(-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(* eps x)
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(* eps (+ x (/ x eps)))
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(* -1 (* eps x))
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(* eps (+ (* -1 x) (/ x eps)))
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(exp (neg (* x (+ 1 (* -1 eps)))))
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(*.f64 (+.f64 (/.f64 x eps) x) eps)
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(*.f64 (-.f64 (/.f64 x eps) x) eps)

rewrite267.0ms (2.9%)

Memory

-37.7MiB live, 162.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	427
0	98	427
1	354	400
2	2885	400
0	8288	388

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 643

Calls

Call 1

Inputs
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
(*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(exp.f64 (neg.f64 x))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))

Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))))) (/.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)))))
(*.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))))) (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))))
(*.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (expm1.f64 (neg.f64 (log.f64 eps)))))
(*.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))
(*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))) (neg.f64 (expm1.f64 (neg.f64 (log.f64 eps)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))) (neg.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))) (neg.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (expm1.f64 (neg.f64 (log.f64 eps)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))))) (neg.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (expm1.f64 (neg.f64 (log.f64 eps))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) (expm1.f64 (neg.f64 (log.f64 eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))) (expm1.f64 (neg.f64 (log.f64 eps))))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64)))) (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (expm1.f64 (neg.f64 (log.f64 eps)))))
(/.f64 (.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))))
(fma.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (pow.f64 eps #s(literal -1 binary64)) (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(literal 1 binary64) (exp.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x (neg.f64 (log.f64 eps)))))
(fma.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (pow.f64 (*.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) (/.f64 (/.f64 (pow.f64 eps #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(-.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 eps)))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) (/.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 eps))) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(-.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (/.f64 (*.f64 (neg.f64 (pow.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(+.f64 (.f64 (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (sinh.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (pow.f64 (.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))))
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(+.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (sinh.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))))
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(-.f64 (/.f64 (pow.f64 (.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (+.f64 eps #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (+.f64 eps #s(literal 1 binary64)) (.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) (/.f64 (pow.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (+.f64 eps #s(literal 1 binary64)) (.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))))
(-.f64 (.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (+.f64 eps #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))
(-.f64 (.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (+.f64 eps #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 eps #s(literal 1 binary64))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (.f64 (neg.f64 (expm1.f64 (neg.f64 (log.f64 eps)))) (+.f64 eps #s(literal 1 binary64))))
(-.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 eps)))))
(+.f64 (fma.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (+.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (-.f64 eps #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (+.f64 eps #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (+.f64 eps #s(literal 1 binary64)))) (pow.f64 (.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (+.f64 eps #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (+.f64 eps #s(literal 1 binary64)))) (pow.f64 (.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (+.f64 eps #s(literal 1 binary64))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (+.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (+.f64 eps #s(literal 1 binary64)))))
(+.f64 (.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (+.f64 eps #s(literal 1 binary64))) (.f64 (neg.f64 (neg.f64 (-.f64 eps #s(literal 1 binary64)))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (+.f64 eps #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))
(+.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (+.f64 eps #s(literal 1 binary64))))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))))))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x)) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 (neg.f64 x)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 (neg.f64 x)))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (.f64 (cosh.f64 x) (sinh.f64 x))))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (.f64 (cosh.f64 x) (sinh.f64 x))))))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 x #s(literal -1 binary64)))
(exp.f64 (neg.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))

eval192.0ms (2.1%)

Memory: -3.4MiB live, 188.8MiB allocated
Compiler: Compiled 43 094 to 3 484 computations (91.9% saved)

prune29.0ms (0.3%)

Memory

8.4MiB live, 53.9MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	704	9	713
Fresh	1	1	2
Picked	4	1	5
Done	0	0	0
Total	709	11	720

Accuracy

100.0%

Counts

720 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.9%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
▶	64.3%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	40.0%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
▶	43.1%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
▶	37.5%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	49.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx ( (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
	57.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
▶	18.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
	50.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
▶	50.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
✓	41.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 961 to 625 computations (35% saved)

simplify124.0ms (1.3%)

Memory

20.5MiB live, 122.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) eps) eps)
cost-diff	0	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
cost-diff	0	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
cost-diff	0	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(.f64 (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
cost-diff	1	(.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x)))
cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
cost-diff	0	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
cost-diff	0	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff	0	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
cost-diff	0	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
cost-diff	1	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (*.f64 (neg.f64 x) eps)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	703
0	98	703
1	199	678
2	485	650
3	1765	650
0	8730	643

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (*.f64 (neg.f64 x) eps)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))))
(neg.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps)))
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))
(*.f64 (neg.f64 x) eps)
(neg.f64 x)
x
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
#s(literal -1 binary64)
(exp.f64 (fma.f64 x eps x))
(fma.f64 x eps x)
#s(literal 2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(literal 2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
(.f64 (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
(/.f64 (+.f64 #s(literal 1 binary64) eps) eps)
(+.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
#s(literal -1 binary64)
(exp.f64 (fma.f64 x eps x))
(fma.f64 x eps x)
x
#s(literal 2 binary64)

Outputs
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (*.f64 (neg.f64 x) eps)))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))))
(neg.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps)))
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))
(*.f64 (neg.f64 x) eps)
(neg.f64 x)
x
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
#s(literal -1 binary64)
(exp.f64 (fma.f64 x eps x))
(fma.f64 x eps x)
#s(literal 2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(literal 2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))))
(.f64 (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x)))
(.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x)))
(/.f64 #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x)) (exp.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) eps) eps)
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) eps)
(+.f64 eps #s(literal 1 binary64))
#s(literal 1 binary64)
eps
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
#s(literal -1 binary64)
(exp.f64 (fma.f64 x eps x))
(fma.f64 x eps x)
x
#s(literal 2 binary64)

localize214.0ms (2.3%)

Memory

-3.0MiB live, 141.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 (+.f64 #s(literal 1 binary64) eps) eps)
accuracy	13.077675793806248	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
accuracy	14.285769050046953	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
accuracy	23.22272090085082	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	12.36247074803651	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
accuracy	28.394796246930053	#s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))
accuracy	0.0	(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
accuracy	13.077675793806248	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
accuracy	23.22272090085082	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
accuracy	23.226384222317055	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
accuracy	0.04296875	(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
accuracy	0.26171875	(*.f64 #s(literal 2/3 binary64) x)
accuracy	12.36247074803651	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
accuracy	17.821861443475427	#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
accuracy	0.00390625	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (*.f64 (neg.f64 x) eps)))))
accuracy	13.077675793806248	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
accuracy	14.285769050046953	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
accuracy	24.457467023991672	#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))

Samples

131.0ms	141×	0	valid
34.0ms	55×	1	valid
17.0ms	60×	0	exit

Compiler

Compiled 503 to 44 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-neg: 36.0ms (31.2% of total)

ival-div: 25.0ms (21.6% of total)

ival-mult: 18.0ms (15.6% of total)

ival-exp: 11.0ms (9.5% of total)

ival-add: 9.0ms (7.8% of total)

ival-sub: 7.0ms (6.1% of total)

adjust: 4.0ms (3.5% of total)

const: 4.0ms (3.5% of total)

exact: 1.0ms (0.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series67.0ms (0.7%)

Memory

-33.0MiB live, 12.7MiB allocated

Counts

26 → 92

Calls

Call 1

Inputs
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (*.f64 (neg.f64 x) eps)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
(.f64 (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(exp.f64 (neg.f64 x))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
(/.f64 (+.f64 #s(literal 1 binary64) eps) eps)
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(*.f64 #s(literal 2/3 binary64) x)
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
#s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))
(neg.f64 x)

Outputs
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* x (- 1 eps))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(* 2/3 x)
(+ 2 (* 2 x))
(* -1 x)
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* 2 (* x (exp (neg x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* 2/3 (pow x 3))
(* (pow x 3) (- 2/3 (/ 1 x)))
(* (pow x 3) (- (+ 2/3 (/ 2 (pow x 3))) (/ 1 x)))
(exp (neg x))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* 2 (* x (exp (* -1 x))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* (pow x 3) (- (/ 1 x) 2/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 1) x)) 2/3)))
(exp (* -1 x))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(/ 1 eps)
(/ (+ 1 eps) eps)
x
(+ x (* -1 (* eps x)))
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(exp (neg (* x (- 1 eps))))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x eps)))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))

Calls

6 calls:

Time	Variable		Point	Expression
55.0ms	x	@	inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (- (* 2/3 x) 1) (* x x)) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ (/ 1 eps) 1) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (exp (neg x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (+ 1 eps) eps) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* 2/3 x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+ (- (+ 1 x) -1) x) (neg x))
3.0ms	x	@	-inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (- (* 2/3 x) 1) (* x x)) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ (/ 1 eps) 1) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (exp (neg x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (+ 1 eps) eps) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* 2/3 x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+ (- (+ 1 x) -1) x) (neg x))
2.0ms	x	@	0	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (- (* 2/3 x) 1) (* x x)) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ (/ 1 eps) 1) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (exp (neg x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (+ 1 eps) eps) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* 2/3 x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+ (- (+ 1 x) -1) x) (neg x))
2.0ms	eps	@	0	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (- (* 2/3 x) 1) (* x x)) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ (/ 1 eps) 1) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (exp (neg x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (+ 1 eps) eps) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* 2/3 x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+ (- (+ 1 x) -1) x) (neg x))
1.0ms	eps	@	-inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (- (* 2/3 x) 1) (* x x)) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ (/ 1 eps) 1) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (exp (neg x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (+ 1 eps) eps) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* 2/3 x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+ (- (+ 1 x) -1) x) (neg x))

simplify228.0ms (2.4%)

Memory

-8.4MiB live, 139.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	381	2187
1	1354	1991
2	5858	1971
0	8608	1842

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 91

Calls

Call 1

Inputs
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* x (- 1 eps))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(* 2/3 x)
(+ 2 (* 2 x))
(* -1 x)
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* 2 (* x (exp (neg x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* 2/3 (pow x 3))
(* (pow x 3) (- 2/3 (/ 1 x)))
(* (pow x 3) (- (+ 2/3 (/ 2 (pow x 3))) (/ 1 x)))
(exp (neg x))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* 2 (* x (exp (* -1 x))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* (pow x 3) (- (/ 1 x) 2/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 1) x)) 2/3)))
(exp (* -1 x))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(/ 1 eps)
(/ (+ 1 eps) eps)
x
(+ x (* -1 (* eps x)))
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(exp (neg (* x (- 1 eps))))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x eps)))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))

Outputs
(+ 1 (/ 1 eps))
(/.f64 (+.f64 #s(literal 1 binary64) eps) eps)
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) x (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) x (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(literal 1/2 binary64))) x #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) x #s(literal 2 binary64))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)))) x #s(literal 2 binary64))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)))) x #s(literal 2 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 2 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* x (- 1 eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(- (/ 1 eps) 1)
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 x eps x) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(fma.f64 (fma.f64 (.f64 x (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(fma.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) eps) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x)) x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* -1 x)
(neg.f64 x)
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))) (.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(literal 1/2 binary64))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)))
(* x (exp (neg x)))
(/.f64 x (exp.f64 x))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(fma.f64 (/.f64 (exp.f64 (neg.f64 x)) x) x (/.f64 x (exp.f64 x)))
(* 2 (* x (exp (neg x))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (exp.f64 x))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) (exp.f64 x))) x)
(* 2/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(* (pow x 3) (- 2/3 (/ 1 x)))
(*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ 2/3 (/ 2 (pow x 3))) (/ 1 x)))
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rewrite241.0ms (2.6%)

Memory

34.8MiB live, 223.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	575
0	98	575
1	370	540
2	2715	540
0	8900	527

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

26 → 257

Calls

Call 1

Inputs
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (*.f64 (neg.f64 x) eps)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
(.f64 (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(exp.f64 (neg.f64 x))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
(/.f64 (+.f64 #s(literal 1 binary64) eps) eps)
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(*.f64 #s(literal 2/3 binary64) x)
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
#s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))
(neg.f64 x)

Outputs
(.f64 (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (*.f64 (neg.f64 x) eps)))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (*.f64 (neg.f64 x) eps)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (*.f64 (neg.f64 x) eps))))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (*.f64 (neg.f64 x) eps))))) (expm1.f64 (neg.f64 (log.f64 eps))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (*.f64 (neg.f64 x) eps))))) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (*.f64 (neg.f64 x) eps))))) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 #s(approx ( (- 1 eps) x) (*.f64 (neg.f64 x) eps))))
(/.f64 (.f64 (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (*.f64 (neg.f64 x) eps)))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (.f64 (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (*.f64 (neg.f64 x) eps)))) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))) (expm1.f64 (neg.f64 (log.f64 eps))))
(/.f64 (.f64 (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (*.f64 (neg.f64 x) eps)))) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64)))
(/.f64 (.f64 (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (*.f64 (neg.f64 x) eps)))) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64)))) (.f64 (exp.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (exp.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))) (expm1.f64 (neg.f64 (log.f64 eps)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (.f64 (exp.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (.f64 (exp.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps)))))
(/.f64 (.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps)))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64)) (exp.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps)))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps)))))
(/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))))
(fma.f64 (cosh.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (sinh.f64 (neg.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps)))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (neg.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps)))) (pow.f64 eps #s(literal -1 binary64)) (.f64 (exp.f64 (neg.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps)))) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (neg.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps)))) #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))) eps) #s(literal -1 binary64)))
(fma.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps))) (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (sinh.f64 (neg.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))))))
(fma.f64 (pow.f64 eps #s(literal -1 binary64)) (exp.f64 (neg.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps)))) (.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps)))) (pow.f64 (.f64 eps (exp.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps)))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (.f64 eps (exp.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps)))) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))))))
(+.f64 (.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) (pow.f64 (.f64 eps (exp.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps)))) #s(literal -1 binary64)))
(+.f64 (.f64 (cosh.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (sinh.f64 (neg.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps)))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (pow.f64 (.f64 (exp.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))) eps) #s(literal -1 binary64)) (.f64 (exp.f64 (neg.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps)))) #s(literal 1 binary64)))
(+.f64 (.f64 (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps)))) #s(literal 1 binary64)) (pow.f64 (.f64 (exp.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))) eps) #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps)))) (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (sinh.f64 (neg.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))))))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps))))) (neg.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (exp.f64 (neg.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps)))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps)))) #s(literal 2 binary64)) (/.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps)))) #s(literal 2 binary64)) (pow.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) (.f64 (fma.f64 (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps)))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps)))) #s(literal 3 binary64)) (pow.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 3 binary64))) (.f64 (fma.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) (fma.f64 (exp.f64 (neg.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps)))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) (pow.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal -2 binary64))
(/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 #s(approx (* (- 1 eps) x) (.f64 (neg.f64 x) eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal -2 binary64)))
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(fabs.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) x)))
(fabs.f64 (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (expm1.f64 (neg.f64 (log.f64 eps))))
#s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))
(neg.f64 x)

eval57.0ms (0.6%)

Memory: -9.9MiB live, 81.3MiB allocated
Compiler: Compiled 16 789 to 1 285 computations (92.3% saved)

prune22.0ms (0.2%)

Memory

-11.7MiB live, 36.0MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	262	7	269
Fresh	1	4	5
Picked	2	3	5
Done	0	1	1
Total	265	15	280

Accuracy

100.0%

Counts

280 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.3%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	46.1%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	40.0%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
✓	43.1%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
✓	37.5%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	49.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx ( (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
	57.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
	50.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
▶	11.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
▶	61.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
▶	61.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	50.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
▶	50.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
▶	18.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x))))
✓	41.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 1 291 to 849 computations (34.2% saved)

simplify129.0ms (1.4%)

Memory

26.4MiB live, 122.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(/.f64 x (exp.f64 x))
cost-diff	0	#s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x)))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x))))
cost-diff	0	#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
cost-diff	2	(sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)))
cost-diff	0	#s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x)))
cost-diff	0	(.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	612
0	90	600
1	186	572
2	490	552
3	1758	552
0	8463	533

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(-.f64 (fabs.f64 (*.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64))
(fabs.f64 (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal 1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64))
(sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)))
(.f64 #s(literal 4/9 binary64) (.f64 x x))
#s(literal 4/9 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x))))
#s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x)))
(/.f64 x (exp.f64 x))
x
(exp.f64 x)

Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 (fabs.f64 x) #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 (fabs.f64 x) #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 (fabs.f64 x) #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (-.f64 (.f64 (fabs.f64 x) #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (fabs.f64 (*.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64))
(-.f64 (*.f64 (fabs.f64 x) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(fabs.f64 (*.f64 #s(literal 2/3 binary64) x))
(*.f64 (fabs.f64 x) #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal 1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))))
(.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x)))
(.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x)))
(.f64 #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x)) #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 (fabs.f64 x) #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 (fabs.f64 x) #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 (fabs.f64 x) #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (-.f64 (.f64 (fabs.f64 x) #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64))
(-.f64 (*.f64 (fabs.f64 x) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)))
(*.f64 (fabs.f64 x) #s(literal 2/3 binary64))
(.f64 #s(literal 4/9 binary64) (.f64 x x))
#s(literal 4/9 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x))))
#s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x)))
(/.f64 x (exp.f64 x))
x
(exp.f64 x)

localize231.0ms (2.5%)

Memory

-3.8MiB live, 235.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.01171875	(/.f64 x (exp.f64 x))
accuracy	18.14370148127542	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x))))
accuracy	31.988320288010403	#s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x)))
accuracy	0.35422843320628317	(.f64 #s(literal 4/9 binary64) (.f64 x x))
accuracy	18.14370148127542	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
accuracy	21.59206364883153	#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
accuracy	24.93896757820832	(sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	18.14370148127542	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
accuracy	21.547905300282647	#s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	32.68555971908497	#s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))
accuracy	0.05078125	(fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.296875	(*.f64 #s(literal 1/3 binary64) x)
accuracy	18.14370148127542	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
accuracy	21.571889948129666	#s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	0.053066259768442016	(fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
accuracy	0.296875	(*.f64 #s(literal 2/3 binary64) x)
accuracy	18.14370148127542	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
accuracy	21.59206364883153	#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))

Samples

92.0ms	55×	1	valid
77.0ms	165×	0	valid
18.0ms	36×	0	exit

Compiler

Compiled 386 to 55 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-exp: 30.0ms (21.3% of total)

ival-mult: 29.0ms (20.6% of total)

adjust: 28.0ms (19.9% of total)

ival-sub: 20.0ms (14.2% of total)

const: 10.0ms (7.1% of total)

ival-add: 10.0ms (7.1% of total)

ival-div: 6.0ms (4.3% of total)

ival-neg: 4.0ms (2.8% of total)

ival-sqrt: 2.0ms (1.4% of total)

ival-fabs: 1.0ms (0.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory

-10.7MiB live, 34.5MiB allocated

Counts

25 → 63

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
(sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x))))
#s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x)))
(/.f64 x (exp.f64 x))
(exp.f64 x)
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
#s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 4/9 binary64) (.f64 x x))

Outputs
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
2
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(+ 2 (* (pow x 2) (- (fabs (* 2/3 x)) 1)))
-1/2
(- (* 1/3 x) 1/2)
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* 2/3 x)
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- (* 1/2 x) 1))))
(* x (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* 1/3 x)
(+ 2 (* 2 x))
(* 1/2 x)
(* 4/9 (pow x 2))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* 2 (* x (exp (neg x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* (pow x 2) (- (fabs (* 2/3 x)) 1))
(* (pow x 2) (- (+ (fabs (* 2/3 x)) (* 2 (/ 1 (pow x 2)))) 1))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(exp (neg x))
(/ x (exp x))
(exp x)
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* 2 (* x (exp (* -1 x))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(exp (* -1 x))
(* -2/3 x)
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (- (fabs (* 2/3 x)) 1) (* x x)) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (+ (* (- (* 1/3 x) 1/2) (* x x)) 1) (- (* 1/3 x) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (exp (neg x)) (sqrt (* 4/9 (* x x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/ x (exp x)) (exp x) (* 2/3 x) (* 1/3 x) (+ (- (+ 1 x) -1) x) (* 1/2 x) (* 4/9 (* x x)))
4.0ms	x	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (- (fabs (* 2/3 x)) 1) (* x x)) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (+ (* (- (* 1/3 x) 1/2) (* x x)) 1) (- (* 1/3 x) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (exp (neg x)) (sqrt (* 4/9 (* x x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/ x (exp x)) (exp x) (* 2/3 x) (* 1/3 x) (+ (- (+ 1 x) -1) x) (* 1/2 x) (* 4/9 (* x x)))
2.0ms	x	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (- (fabs (* 2/3 x)) 1) (* x x)) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (+ (* (- (* 1/3 x) 1/2) (* x x)) 1) (- (* 1/3 x) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (exp (neg x)) (sqrt (* 4/9 (* x x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/ x (exp x)) (exp x) (* 2/3 x) (* 1/3 x) (+ (- (+ 1 x) -1) x) (* 1/2 x) (* 4/9 (* x x)))
1.0ms	eps	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (- (fabs (* 2/3 x)) 1) (* x x)) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (+ (* (- (* 1/3 x) 1/2) (* x x)) 1) (- (* 1/3 x) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (exp (neg x)) (sqrt (* 4/9 (* x x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/ x (exp x)) (exp x) (* 2/3 x) (* 1/3 x) (+ (- (+ 1 x) -1) x) (* 1/2 x) (* 4/9 (* x x)))
1.0ms	eps	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (- (fabs (* 2/3 x)) 1) (* x x)) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (+ (* (- (* 1/3 x) 1/2) (* x x)) 1) (- (* 1/3 x) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (exp (neg x)) (sqrt (* 4/9 (* x x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/ x (exp x)) (exp x) (* 2/3 x) (* 1/3 x) (+ (- (+ 1 x) -1) x) (* 1/2 x) (* 4/9 (* x x)))

simplify192.0ms (2.1%)

Memory

28.4MiB live, 219.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	284	1057
1	969	974
2	3684	897
0	8225	839

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 62

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
2
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(+ 2 (* (pow x 2) (- (fabs (* 2/3 x)) 1)))
-1/2
(- (* 1/3 x) 1/2)
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* 2/3 x)
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- (* 1/2 x) 1))))
(* x (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* 1/3 x)
(+ 2 (* 2 x))
(* 1/2 x)
(* 4/9 (pow x 2))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* 2 (* x (exp (neg x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* (pow x 2) (- (fabs (* 2/3 x)) 1))
(* (pow x 2) (- (+ (fabs (* 2/3 x)) (* 2 (/ 1 (pow x 2)))) 1))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(exp (neg x))
(/ x (exp x))
(exp x)
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* 2 (* x (exp (* -1 x))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(exp (* -1 x))
(* -2/3 x)
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) x #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (fabs (* 2/3 x)) 1)))
(fma.f64 (-.f64 (.f64 (fabs.f64 x) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
x
(* x (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(* x (+ 1 (* x (- (* 1/2 x) 1))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 4/9 (pow x 2))
(.f64 #s(literal 4/9 binary64) (.f64 x x))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))
(* x (exp (neg x)))
(/.f64 x (exp.f64 x))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(*.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x))) x)
(* 2 (* x (exp (neg x))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (exp.f64 x))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))) x)
(* (pow x 2) (- (fabs (* 2/3 x)) 1))
(.f64 (-.f64 (.f64 (fabs.f64 x) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ (fabs (* 2/3 x)) (* 2 (/ 1 (pow x 2)))) 1))
(.f64 (fma.f64 (fabs.f64 x) #s(literal 2/3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64))) (*.f64 x x))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(exp (neg x))
(exp.f64 (neg.f64 x))
(/ x (exp x))
(/.f64 x (exp.f64 x))
(exp x)
(exp.f64 x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))
(* x (exp (* -1 x)))
(/.f64 x (exp.f64 x))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(*.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x))) x)
(* 2 (* x (exp (* -1 x))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (exp.f64 x))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))) x)
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/3 binary64)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -2/3 x)
(*.f64 #s(literal -2/3 binary64) x)
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) #s(literal 1/2 binary64))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))))) (.f64 eps eps) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))) #s(literal 1/2 binary64))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 x)) #s(literal 1/12 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 x)) #s(literal 1/120 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) (exp.f64 x)))) (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))))) (.f64 eps eps) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 x)) #s(literal 1/360 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (exp.f64 x)) #s(literal 1/5040 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64)) (exp.f64 x)))) (.f64 eps eps) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 x)) #s(literal 1/12 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 x)) #s(literal 1/120 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) (exp.f64 x))))) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))))) (.f64 eps eps) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))) #s(literal 1/2 binary64)))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)) #s(literal 1/2 binary64))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)) #s(literal 1/2 binary64))

rewrite161.0ms (1.7%)

Memory

-25.7MiB live, 309.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	537
0	90	528
1	370	495
2	2816	469
0	8619	459

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

25 → 200

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
(sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x))))
#s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x)))
(/.f64 x (exp.f64 x))
(exp.f64 x)
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
#s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 4/9 binary64) (.f64 x x))

Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64))))) (.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64))))) #s(literal 8 binary64))) (.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 x x) (-.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64))))))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 x (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) x) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 x x) (-.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 (.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) x)) x))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64))) (*.f64 x x)))
(-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64)))))) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 2 binary64)))))))
(+.f64 (.f64 (.f64 x x) (-.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64))))
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(pow.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -2/3 binary64) x))
(sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)))
(fabs.f64 (*.f64 #s(literal -2/3 binary64) x))
(exp.f64 (log.f64 (*.f64 #s(literal -2/3 binary64) x)))
(+.f64 (cosh.f64 (log.f64 (.f64 #s(literal -2/3 binary64) x))) (sinh.f64 (log.f64 (.f64 #s(literal -2/3 binary64) x))))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(sqrt.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)))
(fabs.f64 (*.f64 #s(literal 1/3 binary64) x))
#s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
(.f64 (fabs.f64 (.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 2/3 binary64))) x)
(.f64 (fabs.f64 (.f64 (*.f64 #s(literal -2/3 binary64) x) x)) #s(literal 2/3 binary64))
(.f64 (fabs.f64 (.f64 #s(literal 4/9 binary64) x)) x)
(.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) x)
(.f64 (pow.f64 (.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 2/3 binary64)) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (.f64 (*.f64 #s(literal -2/3 binary64) x) x) #s(literal 1 binary64)) #s(literal 2/3 binary64))
(.f64 (pow.f64 (.f64 #s(literal 4/9 binary64) x) #s(literal 1 binary64)) x)
(.f64 (.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 2/3 binary64)) x)
(.f64 (.f64 (*.f64 #s(literal -2/3 binary64) x) x) #s(literal 2/3 binary64))
(.f64 (.f64 #s(literal 4/9 binary64) x) x)
(.f64 (.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -2/3 binary64) x))
(.f64 (.f64 #s(literal 4/9 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 4/9 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 4/9 binary64))
(.f64 #s(literal 2/3 binary64) (pow.f64 (.f64 x (*.f64 #s(literal -2/3 binary64) x)) #s(literal 1 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 #s(literal -2/3 binary64) x)))
(.f64 x (fabs.f64 (.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -2/3 binary64) x))))
(.f64 x (fabs.f64 (.f64 #s(literal 4/9 binary64) x)))
(.f64 x (pow.f64 (.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -2/3 binary64) x)) #s(literal 1 binary64)))
(.f64 x (pow.f64 (.f64 #s(literal 4/9 binary64) x) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -2/3 binary64) x)))
(.f64 x (.f64 #s(literal 4/9 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4/9 binary64) (*.f64 x x)))
(pow.f64 (pow.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))))
(fabs.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -2/3 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4/9 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))))

eval51.0ms (0.5%)

Memory: -11.4MiB live, 89.7MiB allocated
Compiler: Compiled 13 064 to 1 261 computations (90.3% saved)

prune32.0ms (0.3%)

Memory

10.4MiB live, 58.0MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	206	11	217
Fresh	2	4	6
Picked	4	1	5
Done	0	4	4
Total	212	20	232

Accuracy

100.0%

Counts

232 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.3%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	46.1%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	40.0%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
✓	43.1%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
✓	37.5%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	49.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx ( (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
	57.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
	50.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	22.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
	61.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
	34.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (neg.f64 (exp.f64 x)))))
✓	18.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x))))
	14.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
	10.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
	3.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))))
	51.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))))
	18.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (*.f64 (exp.f64 x) x)))
	11.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))
	20.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (- (* 1/3 x) 1/2) (* x x)) 1) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/3 binary64))))))
✓	41.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 2 738 to 903 computations (67% saved)

regimes40.0ms (0.4%)

Memory

-1.6MiB live, 88.7MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx ( (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (*.f64 (exp.f64 x) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (neg.f64 (exp.f64 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (- (* 1/3 x) 1/2) (* x x)) 1) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Outputs

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))

(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))

Calls

4 calls:

12.0ms	x
9.0ms	eps
9.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
7.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
100.0%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
100.0%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
89.0%	3	`x`
100.0%	3	`eps`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes58.0ms (0.6%)

Memory

-19.1MiB live, 85.4MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx ( (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (*.f64 (exp.f64 x) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (neg.f64 (exp.f64 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (- (* 1/3 x) 1/2) (* x x)) 1) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Outputs

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))

(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))

Calls

4 calls:

24.0ms	eps
8.0ms	x
6.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
6.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
79.0%	5	`x`
82.8%	3	`eps`
82.2%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
82.2%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes21.0ms (0.2%)

Memory

-1.2MiB live, 45.8MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx ( (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (*.f64 (exp.f64 x) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (neg.f64 (exp.f64 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (- (* 1/3 x) 1/2) (* x x)) 1) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/3 binary64))))))

Outputs

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))

Calls

3 calls:

7.0ms

eps

5.0ms

(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

5.0ms

(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
78.2%	3	`eps`
78.2%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
78.2%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`

Compiler

Compiled 57 to 38 computations (33.3% saved)

regimes25.0ms (0.3%)

Memory

9.8MiB live, 56.7MiB allocated

Counts

23 → 5

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx ( (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (*.f64 (exp.f64 x) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (neg.f64 (exp.f64 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))

Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (neg.f64 (exp.f64 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (*.f64 (exp.f64 x) x)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))

Calls

4 calls:

7.0ms	x
6.0ms	eps
5.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
5.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
78.7%	5	`x`
61.3%	1	`eps`
61.3%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
61.3%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes7.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

21 → 4

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx ( (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (*.f64 (exp.f64 x) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (exp.f64 x))))

Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (*.f64 (exp.f64 x) x)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
74.6%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

19 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx ( (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))

Outputs

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))

(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
71.6%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

-28.9MiB live, 17.3MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (+ (- (+ 1 x) -1) x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))

Outputs

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
67.5%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))

Outputs

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
64.8%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))

Outputs

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
61.3%	1	`eps`
61.3%	1	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes10.0ms (0.1%)

Memory

-12.6MiB live, 32.7MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))))

Outputs

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))))

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))

Calls

4 calls:

4.0ms	eps
2.0ms	x
2.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
2.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
51.6%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
51.6%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
61.3%	2	`x`
54.7%	2	`eps`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes14.0ms (0.2%)

Memory

-5.7MiB live, 37.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))

Outputs

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))

Calls

4 calls:

9.0ms	eps
2.0ms	x
1.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
1.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
50.2%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
50.2%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
50.2%	1	`eps`
50.2%	1	`x`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes6.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))))

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))

Outputs

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))

Calls

4 calls:

2.0ms	eps
1.0ms	x
1.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
1.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
50.6%	2	`x`
50.2%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
50.2%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
41.7%	1	`eps`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes15.0ms (0.2%)

Memory

-33.9MiB live, 10.4MiB allocated

Accuracy

Total -24.7b remaining (-66.1%)

Threshold costs -24.7b (-66.1%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))))

Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Calls

3 calls:

12.0ms

1.0ms

(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

1.0ms

(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
41.7%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
41.7%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
41.7%	1	`x`

Compiler

Compiled 57 to 38 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000002003

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000002003	+inf

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch166.0ms (1.8%)

Memory

10.4MiB live, 198.9MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.2343360948296762e+180	1.4432684056555356e+183
21.0ms	3.156807911183215e+46	1.8775358777209416e+54
32.0ms	58.40764254801101	367115181.84906834
73.0ms	-74655.64548889548	-2.3759154267953848e-9

Samples

56.0ms	470×	0	valid
31.0ms	104×	1	valid
1.0ms	2×	2	valid

Compiler

Compiled 3 144 to 2 138 computations (32% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 21.0ms (28.9% of total)

ival-exp: 15.0ms (20.7% of total)

ival-div: 10.0ms (13.8% of total)

ival-sub: 9.0ms (12.4% of total)

ival-neg: 6.0ms (8.3% of total)

ival-add: 6.0ms (8.3% of total)

adjust: 4.0ms (5.5% of total)

exact: 1.0ms (1.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2343360948296762e+180	1.4432684056555356e+183
1.0ms	3.156807911183215e+46	1.8775358777209416e+54
2.0ms	58.40764254801101	367115181.84906834

Compiler

Compiled 2 560 to 1 731 computations (32.4% saved)

bsearch28.0ms (0.3%)

Memory

-26.7MiB live, 28.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.2343360948296762e+180	1.4432684056555356e+183
17.0ms	404150903.02084816	46293604779.223724

Samples

12.0ms

112×

valid

Compiler

Compiled 1 504 to 1 007 computations (33% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 2.0ms (21.4% of total)

ival-exp: 2.0ms (21.4% of total)

ival-mult: 2.0ms (21.4% of total)

ival-sub: 2.0ms (21.4% of total)

ival-add: 1.0ms (10.7% of total)

ival-neg: 1.0ms (10.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.2343360948296762e+180	1.4432684056555356e+183
7.0ms	2.773528253002484e+97	2.2714616121288223e+104

Samples

5.0ms

48×

valid

Compiler

Compiled 1 318 to 901 computations (31.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (26.1% of total)

ival-exp: 1.0ms (26.1% of total)

ival-mult: 1.0ms (26.1% of total)

ival-sub: 1.0ms (26.1% of total)

ival-add: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-neg: 0.0ms (0% of total)

bsearch37.0ms (0.4%)

Memory

-8.2MiB live, 38.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.2343360948296762e+180	1.4432684056555356e+183
32.0ms	2.4738340467334464e+147	1.798158149716928e+154

Samples

15.0ms

144×

valid

Compiler

Compiled 1 951 to 1 341 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 3.0ms (26% of total)

ival-div: 2.0ms (17.3% of total)

ival-exp: 2.0ms (17.3% of total)

ival-sub: 2.0ms (17.3% of total)

ival-add: 1.0ms (8.7% of total)

ival-neg: 1.0ms (8.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch46.0ms (0.5%)

Memory

36.4MiB live, 81.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	1.6715815805949671e-15	58.40764254801101

Samples

20.0ms	66×	1	valid
10.0ms	94×	0	valid

Compiler

Compiled 1 172 to 814 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-exp: 7.0ms (27.6% of total)

ival-mult: 5.0ms (19.7% of total)

ival-sub: 3.0ms (11.8% of total)

ival-div: 3.0ms (11.8% of total)

adjust: 2.0ms (7.9% of total)

ival-neg: 2.0ms (7.9% of total)

ival-add: 2.0ms (7.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch51.0ms (0.5%)

Memory

-43.4MiB live, 56.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	58.40764254801101	367115181.84906834

Samples

7.0ms	15×	2	valid
7.0ms	62×	0	valid
5.0ms	19×	1	valid

Compiler

Compiled 842 to 582 computations (30.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-exp: 4.0ms (24.5% of total)

ival-mult: 3.0ms (18.4% of total)

ival-div: 2.0ms (12.3% of total)

adjust: 2.0ms (12.3% of total)

ival-sub: 2.0ms (12.3% of total)

ival-neg: 1.0ms (6.1% of total)

ival-add: 1.0ms (6.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

simplify47.0ms (0.5%)

Memory

27.5MiB live, 75.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	1692
1	269	1692
2	531	1605
3	1694	1605

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 #s(approx ( (- 1 eps) x) (.f64 (neg.f64 x) eps))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x (neg.f64 (exp.f64 x))))) (if (<=.f64 x #s(literal 240 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 25000000000000001907442460272971750823741242736640 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (.f64 (exp.f64 x) x))) (if (<=.f64 x #s(literal 1620000000000000005768869100999923288201277889744334670805044951303793274656804377970653586785646416175057315671063926969745927922222579384115149692916287351484471760512682129620992 binary64)) (/.f64 (-.f64 #s(approx ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))))))
(if (<=.f64 x #s(literal 240 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 25000000000000001907442460272971750823741242736640 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (.f64 (exp.f64 x) x))) (if (<=.f64 x #s(literal 1620000000000000005768869100999923288201277889744334670805044951303793274656804377970653586785646416175057315671063926969745927922222579384115149692916287351484471760512682129620992 binary64)) (/.f64 (-.f64 #s(approx ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)))))))
(if (<=.f64 x #s(literal 410000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 1620000000000000005768869100999923288201277889744334670805044951303793274656804377970653586785646416175057315671063926969745927922222579384115149692916287351484471760512682129620992 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))))
(if (<=.f64 x #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 1620000000000000005768869100999923288201277889744334670805044951303793274656804377970653586785646416175057315671063926969745927922222579384115149692916287351484471760512682129620992 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))))
(if (<=.f64 x #s(literal 17500000000000001018723476380369692428419854340883026379929239138170298267980616275616213456044201316041213534399602734910500818270036559269046870635184128 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 1620000000000000005768869100999923288201277889744334670805044951303793274656804377970653586785646416175057315671063926969745927922222579384115149692916287351484471760512682129620992 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x)))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 600 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Outputs
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(if (<=.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) x))) (.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
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(if (<=.f64 x #s(literal 240 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 25000000000000001907442460272971750823741242736640 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (.f64 (exp.f64 x) x))) (if (<=.f64 x #s(literal 1620000000000000005768869100999923288201277889744334670805044951303793274656804377970653586785646416175057315671063926969745927922222579384115149692916287351484471760512682129620992 binary64)) (/.f64 (-.f64 #s(approx ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)))))))
(if (<=.f64 x #s(literal 240 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 25000000000000001907442460272971750823741242736640 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (.f64 (exp.f64 x) x))) (if (<=.f64 x #s(literal 1620000000000000005768869100999923288201277889744334670805044951303793274656804377970653586785646416175057315671063926969745927922222579384115149692916287351484471760512682129620992 binary64)) (/.f64 (-.f64 #s(approx ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)))))))
(if (<=.f64 x #s(literal 410000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 1620000000000000005768869100999923288201277889744334670805044951303793274656804377970653586785646416175057315671063926969745927922222579384115149692916287351484471760512682129620992 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))))
(if (<=.f64 x #s(literal 410000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 1620000000000000005768869100999923288201277889744334670805044951303793274656804377970653586785646416175057315671063926969745927922222579384115149692916287351484471760512682129620992 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))))
(if (<=.f64 x #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 1620000000000000005768869100999923288201277889744334670805044951303793274656804377970653586785646416175057315671063926969745927922222579384115149692916287351484471760512682129620992 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))))
(if (<=.f64 x #s(literal 17500000000000001018723476380369692428419854340883026379929239138170298267980616275616213456044201316041213534399602734910500818270036559269046870635184128 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 1620000000000000005768869100999923288201277889744334670805044951303793274656804377970653586785646416175057315671063926969745927922222579384115149692916287351484471760512682129620992 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (fabs.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x)))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 600 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

derivations1.3s (13.9%)

Memory

42.1MiB live, 1 052.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	284	1057
1	969	974
2	3684	897
0	8225	839
0	371	2229
1	1324	2031
2	5825	2011
0	8450	1877
0	59	427
0	98	427
1	354	400
2	2885	400
0	8288	388
0	381	2187
1	1354	1991
2	5858	1971
0	8608	1842
0	64	537
0	90	528
1	370	495
2	2816	469
0	8619	459
0	299	1956
1	1081	1768
2	5172	1643
0	8170	1553

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 1 686 to 157 computations (90.7% saved)

preprocess191.0ms (2.1%)

Memory: -3.3MiB live, 203.5MiB allocated
Compiler: Compiled 3 430 to 352 computations (89.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze32.0ms (0.3%)

sample2.9s (30.7%)

explain417.0ms (4.5%)

preprocess265.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify187.0ms (2%)

localize76.0ms (0.8%)

series19.0ms (0.2%)

simplify189.0ms (2%)

rewrite224.0ms (2.4%)

eval60.0ms (0.6%)

prune11.0ms (0.1%)

simplify130.0ms (1.4%)

localize290.0ms (3.1%)

series22.0ms (0.2%)

simplify175.0ms (1.9%)

rewrite267.0ms (2.9%)

eval192.0ms (2.1%)

prune29.0ms (0.3%)

simplify124.0ms (1.3%)

localize214.0ms (2.3%)

series67.0ms (0.7%)

simplify228.0ms (2.4%)

rewrite241.0ms (2.6%)

eval57.0ms (0.6%)

prune22.0ms (0.2%)

simplify129.0ms (1.4%)

localize231.0ms (2.5%)

series32.0ms (0.3%)

simplify192.0ms (2.1%)

rewrite161.0ms (1.7%)

eval51.0ms (0.5%)

prune32.0ms (0.3%)

regimes40.0ms (0.4%)

regimes58.0ms (0.6%)

regimes21.0ms (0.2%)

regimes25.0ms (0.3%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0.1%)

regimes10.0ms (0.1%)

regimes14.0ms (0.2%)

regimes6.0ms (0.1%)

regimes15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch166.0ms (1.8%)

bsearch5.0ms (0.1%)

bsearch28.0ms (0.3%)

bsearch10.0ms (0.1%)

bsearch37.0ms (0.4%)

bsearch46.0ms (0.5%)

bsearch51.0ms (0.5%)

simplify47.0ms (0.5%)

derivations1.3s (13.9%)

preprocess191.0ms (2.1%)

end0.0ms (0%)

Profiling